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31 October, 11:09

Given the equation 4x + 7 = 3 (2x - 5), solve for the variable. Explain each step and justify your process. B. Sam solved a similar equation below. Is Sam's solution correct? Explain why or why not.

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  1. 31 October, 14:06
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    Equation: 4x + 7 = 3 (2x - 5)

    Step-by-step solution:

    • Expand brackets

    -> 4x + 7 = 6x - 15

    • Move x variable to a side and the numbers to another

    -> 4x - 6x = - 15 - 7

    • Solve

    -> - 2x = - 22

    • Multiply both sides by (-1)

    -> - (-2x) = - (-22)

    -> 2x = 22

    • Divide both sides by 2

    -> x = 22/2

    -> x = 11

    • Justification

    -> Put x = 11 in original equation

    -> 4 (11) + 7 = 3 (2 (11) - 5)

    -> 44 + 7 = 3 (22 - 5)

    -> 51 = 3 (17)

    -> 51 = 51

    -> 51 - 51 = 0

    -> 0 = 0

    Since both sides are equal to each other, the answer to the equation is correct.

    I don't know Sam's equation so I'm not gonna answer that.
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